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Property-oriented semantics of structured specifications†

Published online by Cambridge University Press:  08 October 2013

DONALD SANNELLA  and
ANDRZEJ TARLECKI
DONALD SANNELLA
Affiliation:
Laboratory for Foundations of Computer Science, University of Edinburgh, Edinburgh, United Kingdom Website: homepages.inf.ed.ac.uk/dts/
ANDRZEJ TARLECKI
Affiliation:
Institute of Informatics, University of Warsaw, Warsaw, Poland Website: www.mimuw.edu.pl/~tarlecki/
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Abstract

We consider structured specifications built from flat specifications using union, translation and hiding with their standard model-class semantics in the context of an arbitrary institution. We examine the alternative of sound property-oriented semantics for such specifications, and study their relationship to model-class semantics. An exact correspondence between the two (completeness) is not achievable in general. We show through general results on property-oriented semantics that the semantics arising from the standard proof system is the strongest sound and compositional property-oriented semantics in a wide class of such semantics. We also sharpen one of the conditions that does guarantee completeness and show that it is a necessary condition.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 24 , Issue 2 , April 2014 , e240205
Copyright
Copyright © Cambridge University Press 2013 

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Footnotes

†

The work reported in this paper was partially supported by the Polish Ministry of Science and Higher Education, grant N206 493138 (AT).

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